(dy)/(dx)=(2+y^2)/(2xy),y(1)=1

Lösung

\frac{d y}{d x} = \frac{2 + y ^{2}}{2 x y}, y (1) = 1

y = 3 x - 2

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 + y ^{2}}{2 x y}

Solve separable ODE:

y = 3 x - 2

y = 3 x - 2

\int \frac{x}{- x ^{2} + 5} d x

\int_{0}^{\frac{3}{2}} x cos (π x) d x

d er i v a t i v e - \frac{1}{2 x ^{2}}

x \to \infty lim (\frac{x ^{3} + 20 x}{10 x - 2})

\frac{d}{d x} (139 + \frac{36}{x} + \frac{x ^{2}}{16})